Question

solve and graph the solution set. 5x - 5 > 3x + 5 select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the solution set is (5, ∞). (simplify your answer. type your answer in interval notation.) b. there is no solution. choose the correct graph below.

Explanation:

Step1: Isolate x - terms on one side

Subtract 3x from both sides:
$5x - 3x-5>3x - 3x + 5$
$2x-5>5$

Step2: Isolate the variable x

Add 5 to both sides:
$2x-5 + 5>5 + 5$
$2x>10$

Step3: Solve for x

Divide both sides by 2:
$\frac{2x}{2}>\frac{10}{2}$
$x > 5$
In interval - notation, the solution set is $(5,\infty)$.

The graph of the solution set $x>5$ is a number line with an open circle at 5 and an arrow pointing to the right.

Answer:

The solution set is $(5,\infty)$. The correct graph is B (assuming graph B has an open - circle at 5 and an arrow pointing to the right).